Determine string segmentability with dictionary

Q: Determine string segmentability with dictionary

This question evaluates understanding of dynamic programming, prefix-oriented data structures such as Tries, algorithmic complexity analysis, memory trade-offs, and techniques for producing one or multiple valid segmentations of a string.

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Question

Given a string s and a dictionary of words, determine whether s can be segmented into a sequence of dictionary words. Provide a dynamic-programming solution and then propose an alternative that uses a Trie to speed up prefix checks and early termination on long inputs. Discuss complexity, memory trade-offs, and how to return one valid segmentation (or all possible segmentations).

Determine string segmentability with dictionary

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